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Finding the Third Proportional to 450,461.25 and 606,740.63

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Solution

The third proportional to 450,461.25 and 606,740.63 is: 817,238.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,461.25 : 606,740.63 = 606,740.63 : x
  2. Step 2: Convert to fraction form
    450,461.25/606,740.63 = 606,740.63/x
  3. Step 3: Cross multiply
    450,461.25x = 606,740.63 × 606,740.63
  4. Step 4: Simplify right side
    450,461.25x = 368,134,186,025.39
  5. Step 5: Solve for x
    x = 368,134,186,025.39/450,461.25
  6. Step 6: Final answer
    x = 817,238.30

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.